Internal Flows
Dr Majeed Safar Jasim
Email: mjasim@uob.edu.bh
Types of fluid flow problems
Moody diagram
Swamee and Jain
To avoid tedious iterations in head loss, flow
rate, and diameter calculations, Swamee and
Jain (1976) proposed the following explicit
relation:
Example (1)
Heated air at 1 atm and 35°C is to be
transported in a 150-m-long circular
plastic duct at a rate of 0.35 m3/s. If
the head loss in the pipe is not to
exceed 20 m, determine the minimum
diameter of the duct.
Example (1)
Example (1)
Example (1)
4 Equations, 4 unknows, Use Solver
Example (1)
Example (1)
Example (2)
Water at 60°F (𝜌 = 62.36 lbm/ft3
 and 𝜇 = 7.536 × 10−4 lbm/ft·s) is flowing
steadily in a 2-in-diameter horizontal pipe
made of stainless steel at a rate of 0.2 ft3/s.
Determine the pressure drop, the head
loss, and the required pumping power
input for flow over a 200-ft-long section of
the pipe.
Example (2)
Example (2)
Example (2)
To avoid any reading error, we determine f
from the Colebrook equation on which the
Moody chart is based
Using an equation solver, the friction factor
is determined to be f = 0.0174
Example (2)